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\newcommand\pc[1]{\textcolor{red}{#1}} %Pedro's highlights 
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% \title{Deep Learning Optimization with Smooth Activations:\\Linear Width Suffices for the NTK condition}


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\usepackage{xr} 
\externaldocument{banerjee_558}

\title{Neural Tangent Kernel at Initialization: Linear Width Suffices\\
(Supplementary Material)}


% Add authors
\author[1]{\href{mailto:<jj@example.edu>?Subject=Your UAI 2023 paper}{Jane~J.~von~O'L\'opez}{}}
\author[1]{Harry~Q.~Bovik}
\author[1,2]{Further~Coauthor}
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\author[1]{Further~Coauthor}
\author[3]{Further~Coauthor}
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% Add affiliations after the authors
\affil[1]{%
    Computer Science Dept.\\
    Cranberry University\\
    Pittsburgh, Pennsylvania, USA
}
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    Second Affiliation\\
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    …
}
\affil[3]{%
    Another Affiliation\\
    Address\\
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  }


% \author{%
% %\hspace*{-10mm}
%   Arindam Banerjee \\ 
%   Department of Computer Science\\
%   University of Illinois  Urbana-Champaign\\
%   \texttt{arindamb@illinois.edu} \\
%   \and
%   Pedro Cisneros-Velarde\\
%     Department of Computer Science\\
%     \hspace*{-5mm} University of Illinois Urbana-Champaign\\
%     \texttt{pacisne@gmail.com}
%   \and
%     Libin Zhu\\
%     Department of Computer Science\\
%     University of California, San Diego\\
%     \texttt{l5zhu@ucsd.edu}
%     \and
%     Mikhail Belkin\\ 
%     Halicioglu Data Science Institute\\
%     University of California, San Diego\\
%     \texttt{mbelkin@ucsd.edu}
% } 

% \maketitle
\begin{document}
  
\onecolumn %% Turn this off if single column is desired for the supplement
\maketitle
\appendix

\section{NEURAL TANGENT KERNEL AT INITIALIZATION}
\label{app:arXiv_ntk}
\input{app/arx1app_ntk}


\end{document}